Abstract
In the present paper, an explicit Lie group integration for general Hamiltonian systems with dissipation is presented by means of splitting the differential operator and composing the approximation of exponentiation of the separated operators, which can preserve the properties of Lie group of the original dynamic system,. Subsequently, the method is extended to the generalized Hamiltonian control systems. Finally, a numerical example shows the effectiveness of the method in this paper.
| Original language | English |
|---|---|
| Pages (from-to) | 89-94 |
| Number of pages | 6 |
| Journal | International Journal of Nonlinear Sciences and Numerical Simulation |
| Volume | 4 |
| Issue number | 1 |
| State | Published - 2003 |
Keywords
- Differential operator
- Hamiltonian systems with dissipation
- Lie group integration